Traveling wave ultrasonic motors .2. Bidimensional analytical modeling of the stator/rotor contact.

This second paper, out of three, devoted to the theoretical modeling of traveling wave type ultrasonic motors, focuses especially on the stater/rotor contact problem. The first part gives a short description of the specific test bench, which has been developed by our laboratory, in order to perform the acquisition of the stator/rotor interface geometry. Then an analytical approach is shown, based on the general solution of the bidimensional elastic problem in terms of Fourier integrals. This approach allows to figure the influence of the interface mechanical and geometric parameters. After a long calculation, the contact area and the pressure distribution are obtained. The good correlation between numerical simulations (performed on ANSYS finite element code with calculation time of about one hour) and our analytical modeling is then pointed out. Finally, a new software named C.U.B.I.C. (Contact Unilateral entre Bicouches et Indenteurs Continus) and based on the previous theoretical contact model is presented. It allows both the contact area, and the pressure distribution to be obtained as well as a visualization of the geometric configuration of the stator/rotor interface with respect to the axial preload. By using the calculations performed by C.U.B.I.C. as input parameters of C.A.S.I.M.M.I.R.E. software (Conception Assistee par la Simulation Mecanique des MIcromoteurs REsonnants), previously developed by our laboratory, a rotative piezomotor can be characterized and optimized in a few seconds.